λ
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10,071,714

2 × 3 × 31 × 173 × 313
Abundant Even Composite

10,071,714 factors as 2 × 3 × 31 × 173 × 313. Its 32 positive divisors give a proper-divisor sum of 10,908,510, so this integer is abundant. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 2 × 3 × 31 × 173 × 313
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,980,224
Proper Divisor Sum 10,908,510
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #10071703 ← → #10071727

Radix Representation

Decimal 10071714
Binary 100110011010111010100010 (24 bits)
Octal 0o46327242
Hexadecimal 0x99AEA2

Divisor Catalog (32)

1 2 3 6 31 62 93 173 186 313 346 519 626 939 1,038 1,878 5,363 9,703 10,726 16,089 19,406 29,109 32,178 54,149 58,218 108,298 162,447 324,894 1,678,619 3,357,238 5,035,857 10,071,714

Collatz Trajectory (251 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

10,071,714 5,035,857 15,107,572 7,553,786 3,776,893 11,330,680 5,665,340 2,832,670 1,416,335 4,249,006 2,124,503 6,373,510 3,186,755 9,560,266 4,780,133 14,340,400 7,170,200 3,585,100 1,792,550 896,275 2,688,826 1,344,413 4,033,240 2,016,620 1,008,310 504,155 1,512,466 756,233 2,268,700 1,134,350 567,175 1,701,526 850,763 2,552,290 1,276,145 3,828,436 1,914,218 957,109 2,871,328 1,435,664 717,832 358,916 179,458 89,729 269,188 134,594 67,297 201,892 100,946 50,473 151,420 75,710 37,855 113,566 56,783 170,350 85,175 255,526 127,763 383,290

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